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Dispersive modified Benjamin-Bona-Mahony and Kudryashov-Sinelshchikov equations: non-topological, topological, and rogue wave solitons Cover

Dispersive modified Benjamin-Bona-Mahony and Kudryashov-Sinelshchikov equations: non-topological, topological, and rogue wave solitons

International Journal of Mathematics and Computer in Engineering
Volume 3 (2025): Issue 1 (June 2025)
By: Muhammad Usman,  Akhtar Hussain,  Hassan Ali,  Fiazuddin Zaman and  Naseem Abbas  
Open Access
|Jun 2024

Figures & Tables

Fig. 1

Non-topological (bright) soliton nature of surface wave propagation by (12) with C = 1, α = −1 and t = 0.1, 0.2, 0.3.
Non-topological (bright) soliton nature of surface wave propagation by (12) with C = 1, α = −1 and t = 0.1, 0.2, 0.3.

Fig. 2

Rogue wave solutions of the equation (24) with C = 0.2, α = −1 and t = 0, 1, 2.
Rogue wave solutions of the equation (24) with C = 0.2, α = −1 and t = 0, 1, 2.

Fig. 3

Topological (dark) soliton nature of surface wave propagation by (37) with D = 4, α = 1 and t = 2, 4, 6.
Topological (dark) soliton nature of surface wave propagation by (37) with D = 4, α = 1 and t = 2, 4, 6.

Fig. 4

Non-topological (bright) soliton solutions of the equation (46) with C = 0.05, β = 1 and t = 0.2, 0.4, 0.6.
Non-topological (bright) soliton solutions of the equation (46) with C = 0.05, β = 1 and t = 0.2, 0.4, 0.6.

Fig. 5

Rogue wave solutions of the equation (53) with C = 1, α = 1, σ = 1, β = 1 and t = 0, 1, 2.
Rogue wave solutions of the equation (53) with C = 1, α = 1, σ = 1, β = 1 and t = 0, 1, 2.

Fig. 6

Topological (dark) soliton solutions of the equation (57) with C = 1, σ = 1, γ = 1, β = −0.5 and t = 0.2, 0.4, 0.6.
Topological (dark) soliton solutions of the equation (57) with C = 1, σ = 1, γ = 1, β = −0.5 and t = 0.2, 0.4, 0.6.
DOI: https://doi.org/10.2478/ijmce-2025-0003 | Journal eISSN: 2956-7068
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Language: English
Page range: 21 - 34
Submitted on: Aug 18, 2023
Accepted on: Jan 1, 2024
Published on: Jun 2, 2024
Published by: Harran University
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
Nonlinear dispersive modified Benjamin-Bona-Mahony equation,
KS equation,
non-topological solitons,
rogue waves,
topological solitons
Related subjects:
Computer sciences,
Computer sciences, other,
Engineering,
Introductions and overviews,
Engineering, other,
Mathematics,
General mathematics,
Physics,
Physics, other

© 2024 Muhammad Usman, Akhtar Hussain, Hassan Ali, Fiazuddin Zaman, Naseem Abbas, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

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